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# divisor

«divisor» in Mova's school dictionary: **the number you divide by** — its meaning for a pupil, its sense in the lessons and examples.

### part of speech

noun (divisor, divisors)

### meaning for a pupil

1) A divisor is the number you divide by. In 12 ÷ 3, the divisor is 3. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#m1)

2) A divisor of a number is also a number that divides it exactly with no remainder; 3 is a divisor of 12. It is also called a factor. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#m2)

### sense in the lessons

In maths: the number divided by; names a part of division: dividend ÷ divisor = quotient, and number = divisor × quotient (+ remainder); the remainder is always smaller than the divisor; greatest common divisor of two numbers. Phrases: common divisor, greatest common divisor, divisor of.

### examples

- In 20 ÷ 4 = 5 the divisor is 4. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x1)
- List all divisors of 12. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x2)
- The greatest common divisor of 8 and 12 is 4. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x3)
- The divisor is 6 and the quotient is 7. What is the number? [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x4)
- 1 is a divisor of every whole number. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x5)
- 7 has only two divisors, 1 and 7, so it is a prime number. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x6)
- The remainder must be less than the divisor. [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x7)
- Is 5 a divisor of 32? [tree →](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/#x8)

### note

Parts of division: dividend ÷ divisor = quotient. «Divisor» and «factor» often mean the same. Names a part of division: number = divisor × quotient (+ remainder). Trap: the divisor is not the answer. Trap: you can never divide by zero, so 0 is never a divisor.

### Trees and pragmatics

[Every meaning and example of «divisor» parsed by Mova](https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/D/divisor/), each sentence with its dependency tree and frames.